Search a number
-
+
1112212220010 = 23537173233479
BaseRepresentation
bin10000001011110101000…
…000111010100001101010
310221022210222111211012120
4100023311000322201222
5121210302312020020
62210535423452110
7143232440612343
oct20136500724152
93838728454176
101112212220010
11399760891701
1215b679757036
1380b5bbb5268
143bb8d3690ca
151dde7b91740
hex102f503a86a

1112212220010 has 96 divisors (see below), whose sum is σ = 2757473331840. Its totient is φ = 286897353984.

The previous prime is 1112212219949. The next prime is 1112212220023. The reversal of 1112212220010 is 100222122111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33204451 + ... + 33237929.

It is an arithmetic number, because the mean of its divisors is an integer number (28723680540).

Almost surely, 21112212220010 is an apocalyptic number.

1112212220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112212220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378736665920).

1112212220010 is an abundant number, since it is smaller than the sum of its proper divisors (1645261111830).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1112212220010 is a wasteful number, since it uses less digits than its factorization.

1112212220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33872 (or 33699 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1112212220010 its reverse (100222122111), we get a palindrome (1212434342121).

The spelling of 1112212220010 in words is "one trillion, one hundred twelve billion, two hundred twelve million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 173 185 222 346 370 519 555 865 1038 1110 1730 2595 5190 6401 12802 19203 29929 32005 33479 38406 59858 64010 66958 89787 96015 100437 149645 167395 179574 192030 200874 299290 334790 448935 502185 897870 1004370 1107373 1238723 2214746 2477446 3322119 3716169 5536865 5791867 6193615 6644238 7432338 11073730 11583734 12387230 16610595 17375601 18580845 28959335 33221190 34751202 37161690 57918670 86878005 173756010 214299079 428598158 642897237 1001992991 1071495395 1285794474 2003985982 2142990790 3005978973 3214486185 5009964955 6011957946 6428972370 10019929910 15029894865 30059789730 37073740667 74147481334 111221222001 185368703335 222442444002 370737406670 556106110005 1112212220010